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Outstanding Contributions to Logic

Raymond Smullyan on Self Reference

Editors: Fitting, M., Rayman, Brian (Eds.)

  • Celebrates Raymond Smullyan, a mathematician, philosopher, musician, and inventor of logic puzzles, who has made a lasting impact on the study of mathematical logic
     
    Is the first book honoring Raymond Smullyan’s contributions to self-reference, with new approaches by his peers
     
    Collects tributes to Professor Raymond Smullyan’s work on self-reference by leading logicians
     
    Presents new approaches to self-reference

Buy this book

eBook 74,96 €
price for Spain (gross)
  • ISBN 978-3-319-68732-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-3-319-68731-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

This book collects, for the first time in one volume, contributions honoring Professor Raymond Smullyan’s work on self-reference. It serves not only as a tribute to one of the great thinkers in logic, but also as a celebration of self-reference in general, to be enjoyed by all lovers of this field. Raymond Smullyan, mathematician, philosopher, musician and inventor of logic puzzles, made a lasting impact on the study of mathematical logic; accordingly, this book spans the many personalities through which Professor Smullyan operated, offering extensions and re-evaluations of his academic work on self-reference, applying self-referential logic to art and nature, and lastly, offering new puzzles designed to communicate otherwise esoteric concepts in mathematical logic, in the manner for which Professor Smullyan was so well known.

This book is suitable for students, scholars and logicians who are interested in learning more about Raymond Smullyan's work and life.

About the authors

Profile Editor 1:

Melvin Fitting began his scientific career in 1968 and became Professor Emeritus in 2013, working for the entire time at the City University of New York. His work as a logician has included set theory, automated theorem proving, computer language semantics, and philosophical logic. Some of his books in these areas are well known, while others are not as well known as he would like. Following the example of his thesis advisor, Raymond Smullyan, retirement has not meant the end of a research career.


Profile Editor 2:
Brian Rayman works for New York City’s Department of Education. He holds Mathematics Education and Public Policy degrees from New York University and Columbia University, respectively. Since his days as an undergraduate, Brian has deeply embraced Professor Smullyan’s works in recreational mathematics and Eastern philosophy. As a high school mathematics teacher, he integrated Raymond’s work into his curriculum and invited him to speak to his students. Raymond kindly accepted and after two hours, students were no longer sure where mathematics ended and magic began, and vice versa. Today, he considers his most significant accomplishment as being counted among Raymond’s friends and performing magic tricks that nearly made Raymond’s eyes pop out. Brian lives in Carroll Gardens, Brooklyn, with his wife and two sons.

Table of contents (12 chapters)

  • Introduction

    Fitting, Melvin

    Pages 1-22

  • Formal Systems, Logics, and Programs

    Constable, Robert L.

    Pages 23-38

  • Adaptive Fault Diagnosis using Self-Referential Reasoning

    Cowen, Robert

    Pages 39-46

  • Russell’s Paradox, Gödel’s Theorem

    Fitting, Melvin

    Pages 47-66

    Preview Buy Chapter 30,19 €
  • Dance of the Starlings

    Barendregt, Henk (et al.)

    Pages 67-111

Buy this book

eBook 74,96 €
price for Spain (gross)
  • ISBN 978-3-319-68732-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 93,59 €
price for Spain (gross)
  • ISBN 978-3-319-68731-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Raymond Smullyan on Self Reference
Editors
  • M. Fitting
  • Brian Rayman
Series Title
Outstanding Contributions to Logic
Series Volume
14
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-68732-2
DOI
10.1007/978-3-319-68732-2
Hardcover ISBN
978-3-319-68731-5
Series ISSN
2211-2758
Edition Number
1
Number of Pages
VIII, 195
Number of Illustrations and Tables
5 b/w illustrations, 18 illustrations in colour
Topics